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A block accelerates at 3.2 down a plane inclined at an angle 30 degrees. Acceleration of gravity is 9.8. Whats the coefficient of static friction between the block and the inclined plane?
17890
Static friction does not apply when the block is already moving. Without friction, the force on the block parallel to the surface of the incline is Fg*sin(angle), so the acceleration without friction is 9.8* sin(30) = 9.8 * (1/2) = 4.9
Since it is accelerating at 3.2, friction is slowing down the block by (4.9-3.2 = 1.7). The coefficient of kinetic friction is (1.7/4.9) = 0.346939
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How can an adjustable inclined plane be used to measure the coefficient of static friction and coefficient of kinetic friction?
Place the object on the plane. Slowly increase the angle of the plane until the object begins to move at angle Θ. The µs = tan Θ. For µk, same process, but give the object a little push at each increasing value of Θ.
How can you measure rolling resistance?
Roll the object down an inclined plane. Adjust the angle so that the objects rolls down without sliding at a constant speed. When that happens, the tangent of the angle of the plane relative to the horizontal is the coefficient of rolling friction.
The coefficient of static friction along an inclined plane is equal to tan alpha. What about the coefficient of kinetic friction?
It's not. The coefficient of static friction is only equal to the tangent of the angle of incline at the maximum angle before the object begins to slide. At this point static friction equals the component of the weight along the incline (weight X sin alpha). Static friction is given by the coefficient of static friction times the normal force (weight X cos alpha) fs = us N = us mg cos(alpha) Wx =mg sin(alpha) fs = Wx us mg cos(alpha) = mg sin(alpha) us = [sin(alpha)] / [cos(alpha)] = tan(alpha) Similarly, the coefficient of kinetic friction equals the tangent of the angle of incline only if the object is sliding down the incline at constant velocity (net force equals zero). If the object is accelerating along the incline (make this the x axis): Fnet, x = Wx - f max = mg sin(alpha) - uk mg cos(alpha) uk = [g sin(alpha) - ax] / [g cos(alpha)]
Why did Galileo used inclined planes investigate free fall?
He decreased the acceleration of gravity using inclined planes so it was of a value that was easily measured.
How do you find the coefficient of static friction?
Use the formula: FsMAX=μsFN if you want to do it experimentally, get the two different surfaces, and angle one until the object on top starts moving. take the tangent of the angle that starts the objects sliding past one another, and that is your coefficient of static friction.
What is the coefficient of friction between a playground slide and a child if the child accelerates down the slide at 1.16 meters per second squared and the slide is inclined 31 degrees?
china
Determining coefficient of static friction using an inclined surface?
co -efficient of friction is equal to tan inverse of the inclination
Does a trolley with a bigger mass have a bigger acceleration down an inclined friction compensated plane or does it have a smaller acceleration?
smaller
There are two inclined planes ab and bc making a triangle of angles 45-90-45 90 degree is at b which has a pulley the string over it connects two masses m on ab and 2m on bc the friction coefficie?
(Coefficient of friction of plane ab) + 2(Coefficient of friction of plane bc) = 1 Coefficient of friction of plane ab = Coefficient of friction of plane bc = 1/3 = 0.33333......
How can an adjustable inclined plane be used to measure the coefficient of static friction and coefficient of static friction with a mass of 5.0?
Incline the plane until breakaway is achieved and note the angle. > A) Sin angle * 5 = force down (and parallel to) the slope in kgf. > B) Cos angle * 5 = force (weight) of block normal to slope surface. > Static friction coefficient = A / B
If you have to do 2.2 of work to push a 78- trunk 3.1 along a slope inclined upward at 22 pushing parallel to the slope What is the coefficient of friction between trunk and slope?
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How can an adjustable inclined plane be used to measure the coefficient of static friction and coefficient of kinetic friction?
Place the object on the plane. Slowly increase the angle of the plane until the object begins to move at angle Θ. The µs = tan Θ. For µk, same process, but give the object a little push at each increasing value of Θ.
Why if you increase the angle of the inclined plane the acceleration of the trolley will increase?
If the angle is increased, the tangential component of the weight will increase, while the normal component - the one that causes friction - will decrease.
A plane inclined at an angle 35 degrees from horizontal if the coefficient of static friction between the crate and the plane is 0.65 will the crate slide down the plane?
Is mgsinΘ > μmgcosΘ ? Is sinΘ > μ cosΘ ? Is sin35º > .65 cos35º Is .573 > .532 => Yes, so crate slides down the plane, no matter what the mass is or acceleration due to gravity
Can an object move backward on an inclined plane?
Yes, if the incline angle becomes great enough. > As the angle increases, the force on the object down the incline increases but the effective weight on the slope surface decreases. > When the object breaks away the angle of incline can be used to calculate the coefficient of friction between the two surfaces. > coefficient of friction = sine ( incline angle ) / cosine ( incline angle )
Did Galileo elimate the acceleration of a free fall using inclined planes?
No, he merely decreased the acceleration of gravity using inclined planes so it was of a value that was easily measured.
An object is on a frictionless inclined plane The plane is inclined at an angle of 30 degrees with the horizontal What is the objects acceleration?
.50g
